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The purpose of the paper is to develop a perspective mechanism of the investment and innovative activities of university in the conditions of industry 4.0, which allows supporting its high investment attractiveness and high effectiveness of usage of venture investments in digital education.

The research is performed by the example of modern Russia with application of the methods of trend analysis and regression analysis in two consecutive stages. The authors determine regression dependence of the efficiency of digital modernization of universities (on the basis of the indicator of fixed assets implementation) on the volume of investments into fixed assets. Dependence of the indicator of digital competitiveness of education (“training and education”), calculated within the part “knowledge” of the IMD rating “world digital competitiveness ranking,” on commissioning of fixed assets by universities is determined. For the purpose of representativeness of the selection of statistical data, which initial period is 2012, not only factual data for 2012-2018 are used but also forecast data for 2019-2024 (as the national program “digital economy of the Russian Federation” is due until 2024).

Low effectiveness of usage of venture investments in digital education in Russia is substantiated. As investments are provided in the form of target state financing, universities cannot independently determine the directions of their usage and have to use them for purchasing digital equipment and technologies. Other necessary measures for digital modernization of education, namely, training of digital personnel for university, access to digital infrastructure, development of new educational programs, conduct of research and development and marketing, are not implemented.

It is determined that attraction of private venture investments faces the problem of their large volume and high risk. Both problems could be solved by the developed mechanism of investment and innovative activities of a university in the conditions of industry 4.0. It shifts the initiative from university to digital business, which independently initiates the process of venture investing.

The purpose of the work consists in studying social integration as a factor of economic growth. The authors focus on experience and perspectives of developing countries, as they show the highest rate of economic growth and have high potential of its acceleration.

The authors determine the interconnection between the processes of social integration in the four distinguished manifestations with the help of regression analysis and determine the level of homogeneity of data selections for each studied indicator with the help of variation analysis. Scenario analysis of future perspectives of the change of economic growth depending on the influence of the factor of social integration in the unity of its distinguished types is performed. Monte Carlo method is used for forecasting of change of the values of indicators of social integration.

It is substantiated that social integration is an important factor of economic growth. At the same time, the influence of this factor on economic growth of developing countries is ambiguous. Due to the offered proprietary classification of social integration according to the criterion of involved subjects, it is possible to establish that such types of social integration as integration of social groups, integration of business and society and integration of state and society have a positive influence. However, individual's integration into society has a negative influence.

The research contributes to development of economics by substantiating the significance of the social integration factor for economic growth and specifies the logic of management of this factor, which should be flexible. The perspectives of developing countries in acceleration of the rate of economic growth based on managing the factor of social integration are rather wide and envisage the increase of society's inclusion and the level of consumer consciousness and more active involvement of population into state management in the digital economy.